a concave mirror forms an inverted image of an object placed at a distance of 12 cm from it if the image is twice as large as the object where is it formed
Answers
Image is formed 24 cm away from the concave mirror on the same side as the object, and it is larger than the object.
Given:
Object distance, u = -12 cm (negative sign indicates that the object is placed in front of the mirror)
Magnification, m = -2 (negative sign indicates that the image is inverted)
To find:
Image distance=?
Solution:
We know that the magnification, m, is given by:
m = -v/u
where v is the image distance. We can rearrange this equation to solve for the image distance:
v = -mu
Substituting the given values, we get:
v = -(-2)(-12) = 24 cm
Since the magnification is negative, the image is inverted, which means that the image is formed on the same side of the mirror as the object. Also, since the magnification is greater than 1, the image is larger than the object.
Therefore, the image is formed 24 cm away from the concave mirror on the same side as the object, and it is larger than the object.
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